Number of Tennis Balls to make a 4 sided pyramid of 25 levels
Answer : 5525 Balls
Start from the top of the pyramid.
For a pyramid of 1 level - Number of Tennis balls required is 1
For a pyramid of 2 level - Number of Tennis balls required is 1 + 4
For a pyramid of 3 level - Number of Tennis balls required is 1 + 4 + 9
For a pyramid of 4 level - Number of Tennis balls required is 1 + 4 + 9 + 16
How do you go about doing this is each level of N balls requires N+1 balls as support in the case of 2 dimensional pyramid, since this has 3 dimensions, each N2 ball requires support from (N+1)2 ,
therefore there would be N2 Balls in Nth level where N is 1,2,3,4... 25. So the answer here is
12 + 22 + 32 + 42 + 52 + .... + 252
Using this formula to calculate the sum of squares of first N integers
, we can calculate the number of balls requires as
(25 x (26) x (51) ) / 6 = 5525
10 Dec, 2009
Comments (0)
You may also like
Recent Comments
- Siri and Uber also uses Location Services
10 years, 10 months ago
- i connected my dell laptop to videocon lcd …
10 years, 11 months ago
- 05/03/2014_22:09:18,97 C:\Users\kampar>touch .htaccess 'touch' is not recognized as …
11 years, 1 month ago
- IRCTC Tatkal ticket booking script required...
11 years, 2 months ago
- I have a similar solution. I was told …
11 years, 10 months ago
- Can you try checking with a different cable …
12 years ago
- wow that's hilarious
12 years ago
- Perfect! Thanks! :D
12 years ago
- Having the same issue. Were you able to …
12 years, 1 month ago
- hi im having problem with the hdmi port.. …
12 years, 1 month ago
- Hi, As of today the way2sms website has …
12 years, 2 months ago
- HI! I have a problem with my lg …
12 years, 5 months ago
- You know what would be a GREAT idea …
12 years, 5 months ago
- Hi, For changing MAC address in win7 just …
12 years, 5 months ago
- anybody who might read this now should be …
12 years, 5 months ago